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Finding the Third Proportional to 635,569.50 and 1,363,114.50

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Solution

The third proportional to 635,569.50 and 1,363,114.50 is: 2,923,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,569.50 : 1,363,114.50 = 1,363,114.50 : x
  2. Step 2: Convert to fraction form
    635,569.50/1,363,114.50 = 1,363,114.50/x
  3. Step 3: Cross multiply
    635,569.50x = 1,363,114.50 × 1,363,114.50
  4. Step 4: Simplify right side
    635,569.50x = 1,858,081,140,110.25
  5. Step 5: Solve for x
    x = 1,858,081,140,110.25/635,569.50
  6. Step 6: Final answer
    x = 2,923,490.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.